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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Computability, homotopy and twisted Cartesian products


Author: Kathryn Weld
Journal: Proc. Amer. Math. Soc. 108 (1990), 1073-1076
MSC: Primary 55Q52; Secondary 55S45
DOI: https://doi.org/10.1090/S0002-9939-1990-0994794-8
MathSciNet review: 994794
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Abstract: We prove that finite presentations of $ {\pi _n}X$ are effectively computable, when $ X$ is a connected, effectively locally finitely dominated nilpotent complex. The relationship between the solvability of the homotopy problem in recursive Kan complexes and the word problem in homotopy groups plays a role.


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DOI: https://doi.org/10.1090/S0002-9939-1990-0994794-8
Keywords: Homotopy, Postnikov system, Eilenberg-Maclane complex, decision problems, effective computability
Article copyright: © Copyright 1990 American Mathematical Society